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Finding the Fourth Proportional to 1,134.73, 1,701.08 and 549.37

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Solution

The fourth proportional to 1,134.73, 1,701.08 and 549.37 is: 823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.73 : 1,701.08 = 549.37 : x
  2. Step 2: Convert to fraction form
    1,134.73/1,701.08 = 549.37/x
  3. Step 3: Cross multiply
    1,134.73x = 1,701.08 × 549.37
  4. Step 4: Simplify right side
    1,134.73x = 934,519.82
  5. Step 5: Solve for x
    x = 934,519.82/1,134.73
  6. Step 6: Final answer
    x = 823.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.